Algebra 1
posted by Ella on .
Write an equation of a line that passes through (12, 14) with slope 6.
A.y = 6x  12
B.(y + 14) = 6(x + 12)
C.(y + 12) = 14(x + 6)
I've tried so many different ways to find this answer but can't. Please help me and please show me how you got it. I don't want you to just tell me the answer I want you to show me how to find others like this one. Thank you.

y = m x + b
m = slope
in tis case:
m = 6
x =  12
y =  14
y = 6 x + b
 14 = 6 * (  12 ) + b
 14 =  72 + b
 14 + 72 = b
58 = b
b = 58
y = m x + b
y = 6 x + 58 
y = 6 x + 58
OR
y + 14 = 6 x + 58 + 14
y + 14 = 6 x + 72
y + 14 = 6 ( x + 12 )
Ansver B is correct
Proof:
y + 14 = 6 ( x + 12 )
 14 + 14 = 6 (  12 + 12 )
0 = 6 * 0
0 = 0 
If you have a point (a,b) and the line has slope of m, then the equation is
yb = m(xa)
the equation in B) fits that pattern exactly.